In this paper we use the recently introduced concept of satisscing decision theory to develop robustly stabilizing state-feedback control strategies for nonlinear systems subject to unknown disturbances. The result is a point-wise \robust satisscing" set of control options from which a continuous feedback strategy can be selected. We show that the set of continuous \ro-bust satisscing" control ...

This paper addresses the problem of the partial state feedback stabilization of a class of nonlinear systems. In order to stabilization this class systems, the especial place of this paper is to reverse designing the state feedback control law from the method of judging system stability with the center manifold theory. First of all, the center manifold theory is applied to discuss the stabiliza...

We start with a simple introduction into the renormalization group (RG) in quantum field theory and give an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT. Here, some fresh results are included. Then we turn to the remarkable proliferation of the RG ideas into various fields of physics. The last section summarize...

This paper develops the theory for tracking control using the nonlinear H1 control design methodology for a class of nonlinear input affine systems. The authors use a two-step process of first designing the feedforward part of the controller to design for perfect trajectory following and then design the feedback part of the controller using nonlinear H1 regulator theory. Results for infinite-ti...

this paper presents a new control scheme for a class of nonlinear systems. in the proposed method, an adaptive neural network observer with rise feedback controller are applied to realize sensorless control scheme. this observer is tuned online and no exact information of nonlinear term of plant is required. so, this characteristic can compensate mismodeling phenomena. also, a new controller ca...

This paper  presents a nonlinear controller for a Distribution Static Compensator (DSTATCOM) of a microgrid incorporating the Distributed Generation (DG) units. The nonlinear control has been designed based on partial feedback linearization theory and Proportional-Integral-Derivative (PID) controllers try to adjust the voltage and trace the output. This paper has proposed a combination of a fuz...

Aircraft flight control has a multivariable and non linear nature that makes it suitable for a verification of control capability of different designs. QFT techniques have been thoroughly used during the last years to provide robust control designs while using classic theory of control. The QFT method is applied to the design of an aircraft flight control and the results, evaluated by means of ...

Recent progress on a constructive approach to QFT which is based on modular theory is reviewed and compared with the standard quantization approaches. Talk given at “Quantum Theory and Symmetries” Goslar, Germany, July

Topological Yang-Mills theory with the Belavin-Polyakov-Schwarz-Tyupkin SU (2) instanton is solved completely, revealing an underlying multi-link intersection theory. Link invariants are also shown to survive the coupling to a certain kind of matter (hyperinstantons). The physical relevance of topological field theory and its invariants is discovered. By embedding topological Yang-Mills theory ...